Control of Rabinovich chaotic system based on passive control

Abstract

This paper discusses the control of three-dimensional continuous Rabinovich attractor by using passive control technique. Based on the property of the passive system, the passive controller is designed and this controller is added to chaotic Rabinovich system for achieving the control of the system. The controller is ensured to the global asymptotical stability of the three dimensional Rabinovich chaotic system via Lyapunov theory. As a result, the control of Rabinovich chaotic system is realized. To confirm the validity of the proposed method, numerical simulations are presented graphically.